Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/292, 9199/8036 quickly i.e. 754318/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/292, 9199/8036 is 754318/4.
LCM(82/292, 9199/8036) = 754318/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/292,9199/8036
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 82,9199
Least Common Multiple of Numerators i.e. LCM of 82,9199 is 754318.
GCF of Denominators means GCF of 292,8036 as per the given fractions.
GCF of 292,8036 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,9199
Given numbers has no common factors except 1. So, there LCM is their product i.e 754318
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 82,9199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,9199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,9199) x common factors =1 x 1 = 1
LCM(82,9199) = ( 82 × 9199 ) / 1
LCM(82,9199) = 754318 / 1
LCM(82,9199) = 754318
Lets's calculate GCF of 292,8036
2 | 292, 8036 |
2 | 146, 4018 |
73, 2009 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 754318/4
Therefore the LCM of Fractions 82/292,9199/8036 is 754318/4
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 8036
List of positive integer factors of 8036 that divides 8036 without a remainder.
1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036
Greatest Common Factor
We found the factors 292,8036 . The biggest common factor number is the GCF number.
So the greatest common factor 292,8036 is 4.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 82/292, 9199/8036?
Answer: LCM of Numerators as per given numbers 82/292, 9199/8036 is
LCM of Numerators i.e. for 82,9199 is 754318
GCF of denominators i.e. for 292,8036 is 4.
Thus, LCM of Fractions is 754318/4.Finally, LCM of Fractions for 82/292, 9199/8036 is 754318/4.